GCF of 9326/291, 5814/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9326/291, 5814/447 i.e 2/43359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9326/291, 5814/447.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9326/291,5814/447?
Given fractions are 9326/291,5814/447
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9326/291,5814/447, numerators are 9326,5814
Denominators are 291,447
The GCF of 9326,5814 is 2 .
LCM of 291,447 is 43359.
The greatest common factor of 9326/291,5814/447 = [GCF of 9326,5814]/[LCM of 291,447]= 2/43359
Therefore, the GCF of 9326/291,5814/447 is 2/43359.
To find the highest common factor of 9326,5814, we have to find the factors of both numbers and list the highest common factor.
The factors of 9326 are 1, 2, 4663, 9326
The factors of 5814 are 1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907, 5814
The HCF of 9326,5814 is 2.
Lets's calculate GCF of 9326,5814
| 2 | 9326, 5814 |
| 4663, 2907 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9326,5814 By Matching Biggest Common Factor Method
Now, list down the factors of 9326
:1,2,4663,9326
Now, list down the factors of 5814
:1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814
Greatest Common Factor
We found the factors 9326,5814 . The biggest common factor number is the GCF number.
So the greatest common factor 9326,5814 is 2.
Lets's calculate LCM of 291,447
| 3 | 291, 447 |
| 97, 149 |
∴ So the LCM of the given numbers is 3 x 97 x 149 = 43359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43359
Therefore, the GCF of Fractions 9326/291,5814/447 is 2/43359
Least Common Multiple of 291,447 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 291,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,447) x common factors =3 x 1 = 3
LCM(291,447) = ( 291 × 447 ) / 3
LCM(291,447) = 130077 / 3
LCM(291,447) = 43359
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FAQs on GCF of Fractions of 9326/291, 5814/447
1. What is the HCF of 9326,5814?
The HCF of 9326,5814 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9326/291, 5814/447?
Answer: GCF of Numerators as per given numbers 9326/291, 5814/447 is
GCF of Numerators i.e. for 9326,5814 is 2
LCM of denominators i.e. for 291,447 is 43359.
Thus, GCF of Fractions is 2/43359.Finally, GCF of Fractions for 9326/291, 5814/447 is 2/43359.